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Finding the Fourth Proportional to 1,397.25, 2,096.22 and 423.35

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Solution

The fourth proportional to 1,397.25, 2,096.22 and 423.35 is: 635.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,397.25 : 2,096.22 = 423.35 : x
  2. Step 2: Convert to fraction form
    1,397.25/2,096.22 = 423.35/x
  3. Step 3: Cross multiply
    1,397.25x = 2,096.22 × 423.35
  4. Step 4: Simplify right side
    1,397.25x = 887,436.62
  5. Step 5: Solve for x
    x = 887,436.62/1,397.25
  6. Step 6: Final answer
    x = 635.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.